Line m passes through point (-2,-1) and is perpendicular to the graph of y= -2/3 x + 6. line n is parallel to line m and passes through point (4,-3). Which is the equation of line n in slope-intercept form

The equation of the linear function is:

z = 10 + 4x + 6y

To find the equation of the linear function, we need to determine the values of c, m, and n in the function z = c + mx + ny.

Since the graph of the function intersects the xz-plane at z = 4x + 10 and the yz-plane at z = 6y + 10, we can use these equations to find the values of c, m, and n.

When the graph intersects the xz-plane (y = 0), we have:

z = c + mx + n(0) = c + mx

Comparing this with z = 4x + 10, we can equate the coefficients:

c = 10 (the constant term)

m = 4 (the coefficient of x)

When the graph intersects the yz-plane (x = 0), we have:

z = c + m(0) + ny = c + ny

Comparing this with z = 6y + 10, we can equate the coefficients:

c = 10 (the constant term)

n = 6 (the coefficient of y)

Therefore, the equation of the linear function is:

z = 10 + 4x + 6y

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Answer:

Step-by-step explanation:

Area of rectangle = Length ×Breadth

\(Length =8x+1\\Breadth = 3x-2\\\\A =\left(8x+1\right)\left(3x-2\right)\\\\=8x\times\:3x+8x\left(-2\right)+1\times\:3x+1\times\left(-2\right)\\\\=8\times\:3xx-8\times \:2x+1\times \:3x-1\times\:2\\\\=24x^2-13x-2\)

Answer:

ok so i just got done with the test it is c 51

Step-by-step explanation:

From the equation solved, it can be deduced that the value of x will be -5.

From the information given, the equation is 4x/7 - 6 = -20. The step to solve it is given below:

4x/7 - 6 = -20

Cross multiply

4x = -20(7 - 6)

4x = -20(1)

4x = -20

Divide both side by 4

4x/4 = -20/4

x = -5

In conclusion, the value of x is -5.

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Answer:

Given

addition property of equality

multiplication property of equality

division property of equality

Step-by-step explanation:

I took the test

Answer: 0.2 is NOT equivalent to the other answers

Step-by-step explanation: 2% is 2/100 so it equals 0.02 as a decimal

1/50 simplified to a decimal is 0.02

so, 0.02 and 0.2 are not equal

Answer:

B

Step-by-step explanation:

\(\frac{1}{50} =.02=2\)%

\(.20=20\)%

\(20\)%\(\neq \frac{1}{50} \neq .02\)

Answer:

Given

distributive property

Subtraction property of equality

Addition property of equality

Division property of equality

Solution

Step-by-step explanation:

Answer:

\(\displaystyle y + 9 = \frac{16}{13} ( x + 6 )\)

Step-by-step explanation:

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Given a line passes through points A(x1,y1) and B(x2,y2), the slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

We are given the points (-6,-9) and (7,7), thus the slope is:

\(\displaystyle m=\frac{7+9}{7+6}=\frac{16}{13}\)

Now we apply the point-slope formula using the point (-6,-9):

\(\mathbf{\displaystyle y + 9 = \frac{16}{13} ( x + 6 )}\)

This equation is expressed in the required format

The equation of the line passing through the given points is required.

The equation of the line is \(y=\dfrac{16}{13}x-\dfrac{21}{13}\)

The points are \((-6,-9)\) and \((7,7)\)

The equation is

\(y-y_1=\dfrac{\Delta y}{\Delta x}(x-x_1)\\\Rightarrow y+9=\dfrac{7+9}{7+6}(x+6)\\\Rightarrow y+9=\dfrac{16}{13}x+\dfrac{96}{13}\\\Rightarrow y=\dfrac{16}{13}x-\dfrac{21}{13}\)

The equation of the line is \(y=\dfrac{16}{13}x-\dfrac{21}{13}\)

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Answer:

first option

Step-by-step explanation:

To find the product, that is

(4x + 1)(x² - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

4x(x² - 5) + 1(x² - 5) ← distribute both parenthesis

= 4x³ - 20x + x² - 5

= 4x³ + x² - 20x - 5

In this scenario, if a computer was bought for $2350 and is being depreciated over 5 years, the annual depreciation is $470, and its value 3 years later would be $1410.

The straight-line method of depreciation is a method of calculating the decline in value of an asset over time. Using this method, an asset's value is spread evenly over its useful life.

In this scenario, if the computer was bought for $2350 and is being depreciated over 5 years, the annual depreciation is ($2350 / 5) = $470.

Three years later, the computer's value would be $2350 - ($470 x 3) = $1410. This is because the value of the computer is decreasing by $470 per year, and after three years, the total amount of depreciation would be $470 x 3 = $1410.

It's important to note that the straight-line method of depreciation is a simple method and it does not reflect the real-world scenario in which assets may have a higher value of depreciation in the initial years and less in the later years. But it's easy to calculate and use.

In conclusion, if an asset is depreciated using the straight-line method, its value decreases evenly over its useful life. It's important for businesses to understand the various methods of depreciation and choose the one that best suits their needs.

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Answer:

Step-by-step explanation:

Answer:

67x-7y2x-f8

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

To find the median, arrange numbers from smallest to largest

The # of data points in this scenario are 5, which is odd.  If the # of data points is odd, the median is the data point in the center.

$28, $28, $30, $36, $40

if you wanted to find the median with an even # of data points, it's the average of the two middle data points.

The median price of the sport jerseys is : $30

Given the prices :

$28, $36, $40, $30, $28

To find the median price, we need to arrange the values in order :

Ordered prices = $28, $28, $30, $36, $40

The median formula = 1/2(n+1)th term

n = number of terms = 5

Hence,

Median price = 1/2(5 +1)th term

Median price = 1/2(6) = 3rd term

The 3rd term = $30.

Hence, the median price is $30

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Answer:

It will be 6.5 for JG and 9.19 for JH

Step-by-step explanation:

Hope this Helped

Answer:

when w is 3 and x is 2.5, the value of the expression 2w^4 - x is 159.5.

Step-by-step explanation:

To evaluate the expression 2w^4 - x when w is 3 and x is 2.5, we simply need to substitute these values into the expression and simplify:

2w^4 - x

= 2(3)^4 - 2.5 (substitute w=3 and x=2.5)

= 2(81) - 2.5 (evaluate 3^4 = 81)

= 162 - 2.5 (multiply 2 by 81)

= 159.5

Therefore, when w is 3 and x is 2.5, the value of the expression 2w^4 - x is 159.5.

The value of P(10) is 0.11 to ensure that the given distribution is a valid probability distribution.

To determine the value of P(10) so that the given distribution is valid, we need to ensure that the sum of all the probabilities equals 1.

Given:

X: 5, 10, 20, 30, 40, 50

P(X): 0.13, P(10), 0.11, 0.14, 0.21, 0.3

We know that the sum of the probabilities should be equal to 1.

Sum of probabilities = 0.13 + P(10) + 0.11 + 0.14 + 0.21 + 0.3

To find the value of P(10), we can set up the equation:

0.13 + P(10) + 0.11 + 0.14 + 0.21 + 0.3 = 1

Simplifying the equation:

P(10) + 0.89 = 1

Subtracting 0.89 from both sides:

P(10) = 1 - 0.89

P(10) = 0.11

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Answer:

Krutika gets 32 sweets

Step-by-step explanation:

Let the number of sweets be x

Bridget= 5x sweets

Jim= 2x sweets

Krutika= 4x sweets

5x= 40; x= 40/5; x=8

Krutika gets 4x= 4×8

Krutika gets 32 sweets

The probability that a randomly selected person from the population, who tests positive for being a liar, is indeed a liar is approximately 0.63 or 63%.

To find the probability that a randomly selected person who tests positive for being a liar is indeed a liar, we can use Bayes' theorem. Let's define the following events:

A: The person is a liar.

B: The person tests positive for being a liar.

We are given the following probabilities:

P(A) = 0.20 (Tom Hanks' statement that 20% of the population are liars)

P(B|A) = 0.756 (the lie detector correctly identifies a liar)

P(B|not A) = 0.111 (the lie detector incorrectly identifies a truthful person as a liar)

We want to find P(A|B), the probability that the person is a liar given that they tested positive. According to Bayes' theorem, we have:

P(A|B) = (P(B|A) * P(A)) / P(B)

To find P(B), we can use the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

Since we know that P(not A) = 1 - P(A), we can substitute this into the equation:

P(B) = P(B|A) * P(A) + P(B|not A) * (1 - P(A))

Plugging in the given probabilities, we have:

P(B) = (0.756 * 0.20) + (0.111 * 0.80) = 0.1512 + 0.0888 = 0.24

Now we can substitute this back into the equation for P(A|B):

P(A|B) = (0.756 * 0.20) / 0.24 = 0.1512 / 0.24 = 0.63

Therefore, the probability that a randomly selected person from the population, who tests positive for being a liar, is indeed a liar is approximately 0.63 or 63%.

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Answer:

Ok To tell the truth My honest answer is 20026.59

Step-by-step explanation:

I say this because at the end it says how Many shares di Jarrell purchased so you suppose to add so 20,000 then 21.34 then do 5.25 so that's how u got that answer I hope that's correct I'm sorry if it's not I'm not a big fan of math I believe in you tho

Angles 6 and 8 are adjacent, they are Linear pair οf angles.

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

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Answer:

53 would be the correct answer

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Therefore , the solution to given problem of fraction comes out to be 5.2 metric tons per hour.

To represent a whole, divide it into any number of equally parts, or fractions. How many units of a particular size there are is expressed using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of such numerator to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the fraction or population of a sophisticated fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces. For instance, 12 is used to denote half of the a total number or item.

Here,

Given : Six and a half metric tons of soil are removed from a construction site by a construction company in one and a half hours.

Thus,

5/3 hours and 13/2 metric ton

So,

=> 13/2 / 5/4

=> 13/2 * 4/5

=> 52/10

=>5.2

Therefore , the solution to given problem of fraction comes out to be 5.2 metric tons per hour.

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Answer:

Your answer is going to be 4, 7, 10, 13, 16

Step-by-step explanation:

n=1,  3*1+1=4

n=2,  3*2+1=7

n=3,  3*3+1=10

n=4,  3*4+1=13

n=5,  3*5+1=16

The explanatory variables and response variables for this relationship are;

b. Explanatory variable: high school GPA

   Response variable: college GPA

What are explanatory variables?

When it comes to an experiment, a researcher-manipulated variable is an explanatory variable. It acts as a gauge of the transformation the response variable underwent.

Explanatory variables are frequently referred to as predictor variables or independent variables. A response variable is the variable that a researcher is asking a specific question about.

Numerous variables, referred to as explanatory variables, might have an impact on the response variable.

Therefore, the correct option is b, Explanatory variable: high school GPA, Response variable: college GPA.

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Complete question:

College administrators at a small, private college

noticed that students who had higher high school

GPAs tend to have higher college GPAs.

What are the explanatory variable and response

variable for this

relationship?

Explanatory variable: size of college

Response variable: college GPA

Explanatory variable: high school GPA

Response variable: college GPA

Explanatory variable: college GPA

Response variable: high school GPA

Explanatory variable: type of college (public)

Response variable: college GPA

Using Euler integration, the next values of x and y can be determined as follows:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.

To determine the next values of x and y, we use the following formulas:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Substituting the given values into the formulas, we have:

x_next = 2 + 5 = 7

y_next = 8 + 5 * 9 = 53

Therefore, the updated values of x and y using Euler integration are x=7 and y=53.

It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.

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Answer:

-6+10i

Step-by-step explanation:

-5+8i-1+2i=-6+10i

Answer:

x-intercept: (2,0)

y-intercept: (0,-4/3)

vertical asymptote: x = -3

Step-by-step explanation:

To find the x-intercepts, we can set f(x) to 0, which is y=0:

2x-4/x+3 = 0

2x-4 = 0

2x = 4

x = 2

To find the y-intercepts, we can set x to 0:

2(0)-4/(0)+3 = y

y = -4/3

To find the vertical asymptote, we can set the denominator equal to 0:

x+3 = 0

x = -3